A136588 a(n) = Sum_{k=0..n} A136595(n,k)*n^k.

1, 1, 2, 21, 124, 1880, 20046, 391419, 6195288, 147481299, 3121373690, 87790122816, 2329580861268, 75790954533385, 2415630777959686, 89478235732836705, 3323789119614522416, 138402773923330655700

Offset

0,3

Links

Table of n, a(n) for n=0..17.

Prog

(PARI) {a(n)=sum(k=0, n, if(k==0, 0^n, n^k*n!/(k-1)!* sum(i=0, n-1, (-1)^i*polcoeff(((exp(x+x*O(x^n))-1)^(k+i)), n)*binomial(2*i+k, i)/(2*i+k))))}

Crossrefs

Cf. A136595; A048287, A136596, A136597; A136589.

Sequence in context: A178328 A091789 A109789 * A171009 A098661 A095262

Adjacent sequences: A136585 A136586 A136587 * A136589 A136590 A136591

Keyword

nonn

Author

Paul D. Hanna, Jan 10 2008

Status

approved